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Article
Cute Drawings? The disconnect between students' pictorial representations and their mathematics responses to fraction questions.pdf
International Journal for Research in Mathematics Education (2014)
  • Jessica F. Shumway, Utah State University
Abstract
Third and fourth grade students’ responses to open-ended questions requiring the modeling of
fraction concepts were examined in order to determine the types and prevalence of difficulties
students exhibit using pictorial representations in the problem-solving process. When developing
pictorial representations, students experienced difficulties with model selection, partitioning, and
comparison. Four specific difficulties students experienced in using pictorial representations to
solve problems were: not answering the problem goal, incorrect model selection, failure to
overcome whole number bias, and struggles with part-whole understanding.
Keywords
  • Fractions,
  • Modeling,
  • Representations,
  • Elementary School
Disciplines
Publication Date
2014
Citation Information
Jessica F. Shumway. "Cute Drawings? The disconnect between students' pictorial representations and their mathematics responses to fraction questions.pdf" International Journal for Research in Mathematics Education Vol. 1 Iss. 1 (2014) p. 81 - 105
Available at: http://works.bepress.com/jessica-shumway/2/